Step 1: Understand what 5C2 means. It represents the number of ways to choose 2 items from a group of 5 items.
Step 2: Recall the formula for combinations, which is nCr = n! / (r!(n-r)!), where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.
Step 3: In this case, n is 5 and r is 2. So we will use the formula: 5C2 = 5! / (2!(5-2)!).
Step 4: Calculate 5! (5 factorial), which is 5 × 4 × 3 × 2 × 1 = 120.
Step 5: Calculate 2! (2 factorial), which is 2 × 1 = 2.
Step 6: Calculate (5-2)! which is 3!, and 3! = 3 × 2 × 1 = 6.
Step 7: Substitute these values back into the formula: 5C2 = 120 / (2 × 6).
Step 8: Calculate the denominator: 2 × 6 = 12.
Step 9: Now divide the numerator by the denominator: 120 / 12 = 10.
